Category Archives: Research

The NSF-sponsored project "Computability and Probability" (Fall 2009 – Spring 2012) includes funding for graduate and undergraduate researchers. Undergraduate researchers are paid for about 10 hours of independent work per week during Fall or Spring semesters. Graduate students may work as research assistants (equivalent to a TA-ship but without teaching) for a semester.

To qualify to apply for positions on this project, a good preparation would include some of the following courses (or their equivalents): Math 471 (Probability), Math 472 (Statistical inference), Math 454 (Axiomatic set theory) and Math 455 (Mathematical logic). Math 454-455 is offered as a sequence in Spring 2010 and Fall 2010, so interested students are encouraged to enroll in Math 454 for Spring 2010. See flyer on M454 for Spring 2010. More.

Abstract: Many advances on the algebraic side of number theory in the last 15 years (such as the solutions of the Shimura-Taniyama conjecture, Sato-Tate conjecture and Serre’s conjecture, as well as decisive progress on the Fontaine-Mazur conjecture and Main Conjectures for modular forms) have relied in an essential way on improvements in the theory of Galois representations.
The aim of the three main courses is to present an overview of many of these ideas and applications, aimed at advanced graduate students and postdocs with a strong background in number theory, Galois cohomology, and basic algebraic geometry.

SUPER-M is a project in the NSF Graduate STEM Fellows in K-12 Education (GK-12) Program that supports fellowships and training for graduate students in mathematics. Each of the six fellows recruited for 2010-2011 is partnered with a teacher from a local K-12 school, both on Oahu and the Neighbor Islands. The goal of the partnership is to create opportunities for the fellows to communicate their research to a variety of audiences and to enhance the mathematics taught in the K-12 learning environments. More information: Super-M home page | Application information

UH has received a National Science Foundation grant which will pay for math and biology majors to participate in interdisciplinary research and training at UH. Interested students are encouraged to inquire before registering for classes for next semester.

In particular, students with at least one year of calculus are encouraged to enroll in Math 305, which is concerned with probabilistic models in biology.